Answer:
2 * cos(11t/2) * sin(3t/2)
Explanation:
To answer this question, we will simply use the formula relating the difference between the sines as follows:
sin A - sin B = 2 * cos[(A+B)/2] * sin [(A-B)/2]
Now, we have:
A = 7t
B = 4t
Substitute with the givens in the formula as follows:
sin 7t - sin 4t = 2 * cos[(7+4)/2] * sin [(7-4)/2]
sin 7t - sin 4t = 2 * cos[11t/2] * sin [3t/2]
Hope this helps :)
Answer: 16 men
32 women
38 children
Step-by-step explanation:
Let x represent the number of men in the group.
Let y represent the number if women in the group.
Let z represent the number of children in the group.
A group of 86 people consist of men women and children. This means that
x + y + z = 86 - - - - - - - - - - - - 1
There are twice as many women than there are men. It means that
x = y/2
There are 6 more children than there are women. This means that
z = y + 6
Substituting x = y/2 and z = y + 6 into equation 1, it becomes
y/2 + y + y + 6 = 86
multiplying through by 2, it becomes
y + 2y + 2y + 12 = 172
5y = 172 - 12 = 160
y = 160/5 = 32
x = y/2 = 32/2
x = 16
z = y + 6 = 32 + 6
z = 38
To find the LCM of 8 and 56, we should list the multiples of 8 and 56:
8: 8, 16, 24, 32, 40, 48, 56
56: 56, 112
As you can see, the LCM of 8 and 56 is 56.
I presume that the answer is option a, but it is incorrect. The right answer should be < 47, - 61, 17 >; yes, and for clarification, take a look at the attachment below -
I think that her rate per mile is 15 miniutes